The effect of submergence on the scattering by the interface between two semi-infinite sheets

Timothy D C Williams; Richard Porter

doi:10.1016/j.jfluidstructs.2009.02.001

The effect of submergence on the scattering by the interface between two semi-infinite sheets

Timothy D C Williams, Richard Porter

Research output: Contribution to journal › Article (Academic Journal) › peer-review

34 Citations (Scopus)

Abstract

This paper considers the reflection and transmission of a flexural-gravity wave within ice sheets floating on water as it propagates through a series of abrupt changes in ice sheet characteristics. The canonical problem involves one such junction at which two semi-infinite ice sheets of different properties are either frozen together or separated by a crack. Unlike most mathematical approaches to problems involving ice sheets, we allow the ice sheets to adopt a variable submergence according to their thickness. The problem is solved using integral equations formulated through the matching of eigenfunction expansions. (c) 2009 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	777-793
Number of pages	17
Journal	Journal of Fluids and Structures
Volume	25
Issue number	5
Early online date	7 Apr 2009
DOIs	https://doi.org/10.1016/j.jfluidstructs.2009.02.001
Publication status	Published - Jul 2009

Keywords

THICKNESS
ICE SHEETS
SURFACE-WAVES
FLOATING ELASTIC PLATES
SEA-ICE
Wave-ice interaction
Galerkin scheme
WAVE SCATTERING
APPROXIMATION
PERIODIC BEDS
Sea-ice
REFLECTION
PROPAGATION
Finite draft

Access to Document

10.1016/j.jfluidstructs.2009.02.001

http://www.sciencedirect.com/science/article/pii/S0889974609000139

Handle.net

Persistent link

Cite this

@article{ba2d2d0a2cc146a78fa02002e75783a8,

title = "The effect of submergence on the scattering by the interface between two semi-infinite sheets",

abstract = "This paper considers the reflection and transmission of a flexural-gravity wave within ice sheets floating on water as it propagates through a series of abrupt changes in ice sheet characteristics. The canonical problem involves one such junction at which two semi-infinite ice sheets of different properties are either frozen together or separated by a crack. Unlike most mathematical approaches to problems involving ice sheets, we allow the ice sheets to adopt a variable submergence according to their thickness. The problem is solved using integral equations formulated through the matching of eigenfunction expansions. (c) 2009 Elsevier Ltd. All rights reserved.",

keywords = "THICKNESS, ICE SHEETS, SURFACE-WAVES, FLOATING ELASTIC PLATES, SEA-ICE, Wave-ice interaction, Galerkin scheme, WAVE SCATTERING, APPROXIMATION, PERIODIC BEDS, Sea-ice, REFLECTION, PROPAGATION, Finite draft",

author = "Williams, \{Timothy D C\} and Richard Porter",

year = "2009",

month = jul,

doi = "10.1016/j.jfluidstructs.2009.02.001",

language = "English",

volume = "25",

pages = "777--793",

journal = "Journal of Fluids and Structures",

issn = "0889-9746",

publisher = "Academic Press",

number = "5",

}

TY - JOUR

T1 - The effect of submergence on the scattering by the interface between two semi-infinite sheets

AU - Williams, Timothy D C

AU - Porter, Richard

PY - 2009/7

Y1 - 2009/7

N2 - This paper considers the reflection and transmission of a flexural-gravity wave within ice sheets floating on water as it propagates through a series of abrupt changes in ice sheet characteristics. The canonical problem involves one such junction at which two semi-infinite ice sheets of different properties are either frozen together or separated by a crack. Unlike most mathematical approaches to problems involving ice sheets, we allow the ice sheets to adopt a variable submergence according to their thickness. The problem is solved using integral equations formulated through the matching of eigenfunction expansions. (c) 2009 Elsevier Ltd. All rights reserved.

AB - This paper considers the reflection and transmission of a flexural-gravity wave within ice sheets floating on water as it propagates through a series of abrupt changes in ice sheet characteristics. The canonical problem involves one such junction at which two semi-infinite ice sheets of different properties are either frozen together or separated by a crack. Unlike most mathematical approaches to problems involving ice sheets, we allow the ice sheets to adopt a variable submergence according to their thickness. The problem is solved using integral equations formulated through the matching of eigenfunction expansions. (c) 2009 Elsevier Ltd. All rights reserved.

KW - THICKNESS

KW - ICE SHEETS

KW - SURFACE-WAVES

KW - FLOATING ELASTIC PLATES

KW - SEA-ICE

KW - Wave-ice interaction

KW - Galerkin scheme

KW - WAVE SCATTERING

KW - APPROXIMATION

KW - PERIODIC BEDS

KW - Sea-ice

KW - REFLECTION

KW - PROPAGATION

KW - Finite draft

U2 - 10.1016/j.jfluidstructs.2009.02.001

DO - 10.1016/j.jfluidstructs.2009.02.001

M3 - Article (Academic Journal)

SN - 0889-9746

VL - 25

SP - 777

EP - 793

JO - Journal of Fluids and Structures

JF - Journal of Fluids and Structures

IS - 5

ER -

The effect of submergence on the scattering by the interface between two semi-infinite sheets

Abstract

Keywords

Access to Document

Handle.net

Fingerprint

Cite this